4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this function. b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from mile 10 to mile 100. c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the moment it has travelled its 10th mile and its 100th mile. d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado changes as the distance that the tornado travels increases.
4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this function. b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from mile 10 to mile 100. c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the moment it has travelled its 10th mile and its 100th mile. d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado changes as the distance that the tornado travels increases.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65
a) Graph this function.
b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from
mile 10 to mile 100.
c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the
moment it has travelled its 10th mile and its 100th mile.
d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado
changes as the distance that the tornado travels increases.
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VIEWStep 3: Calculate the average rate of change for the speed of the wind from mile 10 to mile 100:
VIEWStep 4: Estimate the rate at which the speed of the wind is changing at mile 10 and mile 100:
VIEWStep 5: Discuss how the rate of change of wind speed at the tornado center evolves as the tornado travels:
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